An Introduction to Metric Spaces and Fixed Point Theory Contributor(s): Khamsi, Mohamed a. (Author), Kirk, William A. (Author) |
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ISBN: 0471418250 ISBN-13: 9780471418252 Publisher: Wiley-Interscience OUR PRICE: $214.65 Product Type: Hardcover - Other Formats Published: March 2001 Annotation: A comprehensive, basic level introduction to metric spaces and fixed point theory An Introduction to Metric Spaces and Fixed Point Theory presents a highly self-contained treatment of the subject that is accessible for students and researchers from diverse mathematical backgrounds, including those who may have had little training in mathematics beyond calculus. It provides up-to-date coverage of the properties of metric spaces and Banach spaces, as well as a detailed summary of the primary concepts of set theory. The authors take a unique approach to the subject by including a number of helpful basic level exercises and using a simple and accessible level of presentation. They provide a highly comprehensive development of what is known in a purely metric context-especially in hyperconvex spaces-and a number of up-to-date Banach space results which are too recent to be found in other books on the subject. In addition to introductory coverage of metric spaces and Banach spaces, the authors provide detailed analyses of these important topics in the subject:
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Additional Information |
BISAC Categories: - Mathematics | Topology - General - Mathematics | Algebra - Linear |
Dewey: 514.32 |
LCCN: 00068491 |
Series: Pure and Applied Mathematics: A Wiley Texts, Monographs and Tracts |
Physical Information: 0.81" H x 6.14" W x 9.48" (1.26 lbs) 320 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Diese Einfuhrung in das Gebiet der metrischen Raume richtet sich in erster Linie nicht an Spezialisten, sondern an Anwender der Methode aus den verschiedensten Bereichen der Naturwissenschaften. Besonders ausfuhrlich und anschaulich werden die Grundlagen von metrischen Raumen und Banach-Raumen erklart, Anhange enthalten Informationen zu verschiedenen Schlusselkonzepten der Mengentheorie (Zornsches Lemma, Tychonov-Theorem, transfinite Induktion usw.). Die hinteren Kapitel des Buches beschaftigen sich mit fortgeschritteneren Themen. |